以计算均匀球体转动惯量为例浅谈微元的选取

Discussion on the Selection of Infinitesimal Elements Through Taking the Calculation of Rotational Inertia of Even Sphere for Example

恰当选取微元,是应用微元法计算刚体转动惯量的关键。通过分析均质球体转动惯量计算中微元的选取的例子,阐明合适选取微元,必须建立好物理模型,如此,不仅计算简便,重要的是从不同角度加深了对物理概念的理解,同时也促进对微积分的应用的再认识。

The proper selection of infinitesimal elements is the key to calculate the rotational inertia of rigid bodies with infinitesimal method. Through analyzing the examples of selecting infinitesimal elements in the calculation of rotational inertia of even sphere, the paper states, in order to make a proper selection of infinitesimal elements, the physical model must be first established. In this case, the calculating will become easy, and the more important is that it will deepen the understanding of physical concepts from different angles and promcte the recognition on the application of the differential and integral calculus.